IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/376919.html
   My bibliography  Save this article

Permanence of Diffusive Models for Three Competing Species in Heterogeneous Environments

Author

Listed:
  • Benlong Xu
  • Zhenzhang Ni

Abstract

We address the question of the long-term coexistence of three competing species whose dynamics are governed by the partial differential equations. We obtain criteria for permanent coexistence in a Lotka-Volterra system modeling the interaction of three competing species in a bounded habitat whose exterior is lethal to each species. It is also proved that if the intercompeting strength is very weak, the system is always permanent, provided that each single one of the three species can survive in the absence of the two other species.

Suggested Citation

  • Benlong Xu & Zhenzhang Ni, 2014. "Permanence of Diffusive Models for Three Competing Species in Heterogeneous Environments," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, August.
    • Handle: RePEc:hin:jnlaaa:376919
    DOI: 10.1155/2014/376919
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2014/376919.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2014/376919.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/376919?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnlaaa:376919. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.